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14160557376 = 263473171231
BaseRepresentation
bin11010011000000100…
…01111010101000000
31100112212120211220000
431030002033111000
5213000100314001
610301045520000
71010624515560
oct151402172500
940485524800
1014160557376
1160072a1389
1228b2413000
131448966244
1498494cda0
1557d29aa86
hex34c08f540

14160557376 has 280 divisors, whose sum is σ = 48163374336. Its totient is φ = 4029834240.

The previous prime is 14160557353. The next prime is 14160557377. The reversal of 14160557376 is 67375506141.

14160557376 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 0 + 5 + 573 + 76 = 666.

It is a super-3 number, since 3×141605573763 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14160557377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11502681 + ... + 11503911.

Almost surely, 214160557376 is an apocalyptic number.

14160557376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14160557376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24081687168).

14160557376 is an abundant number, since it is smaller than the sum of its proper divisors (34002816960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14160557376 is a wasteful number, since it uses less digits than its factorization.

14160557376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

It can be divided in two parts, 14160 and 557376, that added together give a square (571536 = 7562).

The spelling of 14160557376 in words is "fourteen billion, one hundred sixty million, five hundred fifty-seven thousand, three hundred seventy-six".